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Author: Arne Ledet
Publisher: American Mathematical Soc.
ISBN: 0821837265
Category : Mathematics
Languages : en
Pages : 183
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Book Description
This monograph is concerned with Galois theoretical embedding problems of so-called Brauer type with a focus on 2-groups and on finding explicit criteria for solvability and explicit constructions of the solutions. The advantage of considering Brauer type embedding problems is their comparatively simple condition for solvability in the form of an obstruction in the Brauer group of the ground field. The book presupposes knowledge of classical Galois theory and the attendant algebra. Before considering questions of reducing the embedding problems and reformulating the solvability criteria, the author provides the necessary theory of Brauer groups, group cohomology and quadratic forms. The book will be suitable for students seeking an introduction to embedding problems and inverse Galois theory. It will also be a useful reference for researchers in the field.
Author: Arne Ledet
Publisher: American Mathematical Soc.
ISBN: 0821837265
Category : Mathematics
Languages : en
Pages : 183
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Book Description
This monograph is concerned with Galois theoretical embedding problems of so-called Brauer type with a focus on 2-groups and on finding explicit criteria for solvability and explicit constructions of the solutions. The advantage of considering Brauer type embedding problems is their comparatively simple condition for solvability in the form of an obstruction in the Brauer group of the ground field. The book presupposes knowledge of classical Galois theory and the attendant algebra. Before considering questions of reducing the embedding problems and reformulating the solvability criteria, the author provides the necessary theory of Brauer groups, group cohomology and quadratic forms. The book will be suitable for students seeking an introduction to embedding problems and inverse Galois theory. It will also be a useful reference for researchers in the field.
Author: Christian U. Jensen
Publisher: Cambridge University Press
ISBN: 9780521819985
Category : Mathematics
Languages : en
Pages : 272
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Book Description
Table of contents
Author: Alina Carmen Cojocaru
Publisher: Springer Nature
ISBN: 3030777006
Category : Mathematics
Languages : en
Pages : 334
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Book Description
This volume includes articles spanning several research areas in number theory, such as arithmetic geometry, algebraic number theory, analytic number theory, and applications in cryptography and coding theory. Most of the articles are the results of collaborations started at the 3rd edition of the Women in Numbers Europe (WINE) conference between senior and mid-level faculty, junior faculty, postdocs, and graduate students. The contents of this book should be of interest to graduate students and researchers in number theory.
Author: Arthur James Wells
Publisher:
ISBN:
Category : Bibliography, National
Languages : en
Pages : 1664
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Book Description
Author: Peter L. Duren
Publisher: American Mathematical Soc.
ISBN: 9780821801246
Category : Mathematics
Languages : en
Pages : 490
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Book Description
Part of the "History of Mathematics" series, this book presents a variety of perspectives on the political, social, and mathematical forces that have shaped the American mathematical community.
Author: Alf J. van der Poorten
Publisher: Springer Science & Business Media
ISBN: 3540794557
Category : Computers
Languages : en
Pages : 463
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Book Description
This book constitutes the refereed proceedings of the 8th International Algorithmic Number Theory Symposium, ANTS 2008, held in Banff, Canada, in May 2008. The 28 revised full papers presented together with 2 invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on elliptic curves cryptology and generalizations, arithmetic of elliptic curves, integer factorization, K3 surfaces, number fields, point counting, arithmetic of function fields, modular forms, cryptography, and number theory.
Author: Edward L. Green
Publisher: American Mathematical Soc.
ISBN: 0821809288
Category : Mathematics
Languages : en
Pages : 378
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Book Description
This refereed collection of research papers and survey articles reflects the interplay of finite-dimensional algebras with other areas (algebraic geometry, homological algebra, and the theory of quantum groups). Current trends are presented from the discussions at the AMS-IMS-SIAM Joint Summer Research Conference at the University of Washington (Seattle). The volume features several excellent expository articles which will introduce inspiration to researchers in related areas, as it includes original papers spanning a broad spectrum of representation theory.
Author: Marcelo Aguiar
Publisher: American Mathematical Soc.
ISBN: 0821853546
Category : Education
Languages : en
Pages : 201
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Book Description
An important idea in the work of G.-C. Rota is that certain combinatorial objects give rise to Hopf algebras that reflect the manner in which these objects compose and decompose. Recent work has seen the emergence of several interesting Hopf algebras of this kind, which connect diverse subjects such as combinatorics, algebra, geometry, and theoretical physics. This monograph presents a novel geometric approach using Coxeter complexes and the projection maps of Tits for constructing and studying many of these objects as well as new ones. The first three chapters introduce the necessary background ideas making this work accessible to advanced graduate students. The later chapters culminate in a unified and conceptual construction of several Hopf algebras based on combinatorial objects which emerge naturally from the geometric viewpoint. This work lays a foundation and provides new insights for further development of the subject.
Author: Carl R. Riehm
Publisher: American Mathematical Soc.
ISBN: 0821885952
Category : Mathematics
Languages : en
Pages : 305
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Book Description
Author: Eric T. Sawyer
Publisher: American Mathematical Soc.
ISBN: 0821871846
Category : Mathematics
Languages : en
Pages : 219
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Book Description
